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Finding the Third Proportional to 92,662.31 and 193,365.56

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Solution

The third proportional to 92,662.31 and 193,365.56 is: 403,510.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,662.31 : 193,365.56 = 193,365.56 : x
  2. Step 2: Convert to fraction form
    92,662.31/193,365.56 = 193,365.56/x
  3. Step 3: Cross multiply
    92,662.31x = 193,365.56 × 193,365.56
  4. Step 4: Simplify right side
    92,662.31x = 37,390,240,760.94
  5. Step 5: Solve for x
    x = 37,390,240,760.94/92,662.31
  6. Step 6: Final answer
    x = 403,510.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.